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134627216 = 24171732861
BaseRepresentation
bin10000000011000…
…11111110010000
3100101022202211012
420001203332100
5233431032331
621205310052
73223212113
oct1001437620
9311282735
10134627216
1169aa2469
1239105328
1321b78999
1413c4657a
15bc4482b
hex8063f90

134627216 has 40 divisors (see below), whose sum is σ = 277877304. Its totient is φ = 62965760.

The previous prime is 134627209. The next prime is 134627249. The reversal of 134627216 is 612726431.

134627216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 70627216 + 64000000 = 8404^2 + 8000^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45626 + ... + 48486.

Almost surely, 2134627216 is an apocalyptic number.

134627216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134627216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138938652).

134627216 is an abundant number, since it is smaller than the sum of its proper divisors (143250088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134627216 is a wasteful number, since it uses less digits than its factorization.

134627216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3053 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 134627216 is about 11602.8968796590. The cubic root of 134627216 is about 512.5201622843.

The spelling of 134627216 in words is "one hundred thirty-four million, six hundred twenty-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 136 173 272 346 692 1384 2768 2861 2941 5722 5882 11444 11764 22888 23528 45776 47056 48637 97274 194548 389096 494953 778192 989906 1979812 3959624 7919248 8414201 16828402 33656804 67313608 134627216